Solve the given equation. 5^(1/4)/125^(x/3) =1

Mathematics

1 answer:

scZoUnD [109]3 years ago

3 0

Answer:

x = 0.25

Step-by-step explanation:

Rewrite the equation as:

$\frac{\sqrt[4]{5}}{125^{x/3}} = 1$

$\sqrt[4]{5} = 125^{x/3}$

$(\sqrt[4]{5})^4 = (125^{x/3})^4$

$5 = 125^{4x/3}$

$ln5 = ln(125^{4x/3})$

$ln5 = \frac{4x}{3}ln125$

$x = \frac{3}{4}\frac{ln5}{ln125} = \frac{3}{4}\frac{1}{3} = \frac{1}{4} = 0.25$

You might be interested in

Alfredo has different colored spiral notebooks in his backpack. Which of the following models could be used to simulate a 1 in 3

BartSMP [9]

Answer:

the fourth option

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Probability of choosing a red spiral = number of red spiral / total sum of spirals in the bag

1st option = 2 / 4 = 1/2

2nd option = 4/8 = 1/2

3rd option = 2/3

4th option = 2/6 = 1/3

the fourth option is correct

4 0

3 years ago

Mitch is buying candy bars for his friends he wants to give 2 bars to each friend and he wants to have 10 spare bars he can affo

Brut [27]

Answer:

e can treat 7 friends